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Finding the Fourth Proportional to 540,115.68, 810,682.02 and 274,067.13

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Solution

The fourth proportional to 540,115.68, 810,682.02 and 274,067.13 is: 411,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,115.68 : 810,682.02 = 274,067.13 : x
  2. Step 2: Convert to fraction form
    540,115.68/810,682.02 = 274,067.13/x
  3. Step 3: Cross multiply
    540,115.68x = 810,682.02 × 274,067.13
  4. Step 4: Simplify right side
    540,115.68x = 222,181,294,564.00
  5. Step 5: Solve for x
    x = 222,181,294,564.00/540,115.68
  6. Step 6: Final answer
    x = 411,358.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.